2106
2106 is a even composite number that follows 2105 and precedes 2107. It is composed of 20 distinct factors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106. Its prime factorization can be written as 2 × 3^4 × 13. 2106 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2106 is represented as 100000111010 in binary and 83A in hexadecimal. Historically, it is written as MMCVI in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2 × 3^4 × 13) reveals 6 prime building blocks.
Divisible by 2
2106 ends in 6, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
2106 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
2106 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 2106 within several notable number theory sequences:
Timeline
Deep dive
How 2106 breaks down
2106 carries 20 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2976, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000111010 supports bitwise reasoning, hexadecimal 83A aligns with computing notation, and the Roman numeral MMCVI keeps the encyclopedic tradition alive. These attributes make 2106 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2106 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2101–2111) to tune search ranges, and educators feature 2106 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 2106 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 2106
Is 2106 a prime number?
2106 is composite with 20 total factors and the prime factorization 2 × 3^4 × 13.
What is the prime factorization of 2106?
It breaks down as 2 × 3^4 × 13, multiplying the primes 2 × 3 × 3 × 3 × 3 × 13.
How is 2106 represented in binary and hexadecimal?
2106 converts to 100000111010 in binary and 83A in hexadecimal, which are helpful for computer science applications.
Is 2106 a perfect square, cube, or triangular number?
2106 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2106?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.